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We consider two unsteady free convection flows of a Bingham fluid when it saturates a porous medium contained within a vertical circular cylinder. The cylinder is initially at a uniform temperature, and such flows are then induced by suddenly applying either a new constant temperature or a nonzero heat flux to the exterior surface. As time progresses, heat conducts inwards and this may or may not overcome the yield threshold for flow. For the constant temperature case, flow begins immediately should the parameter, Rb, which is a nondimensional yield parameter, be sufficiently large. The ultimate fate, though, is full immobility as the cylinder eventually tends towards a new constant temperature. For the constant heat flux case, the fluid remains immobile but will begin to flow eventually should Rb be sufficiently large. The two cases have different critical values for Rb.

Item Type:	Refereed Article
Keywords:	porous media, boundary layer, unsteady flow, convection, Bingham fluid, yield stress, vertical cylinder, porous cavities
Research Division:	Mathematical Sciences
Research Group:	Applied Mathematics
Research Field:	Theoretical and Applied Mechanics
Objective Division:	Expanding Knowledge
Objective Group:	Expanding Knowledge
Objective Field:	Expanding Knowledge in the Mathematical Sciences
UTAS Author:	Bassom, AP (Professor Andrew Bassom)
ID Code:	131523
Year Published:	2018
Deposited By:	Mathematics and Physics
Deposited On:	2019-03-21
Last Modified:	2019-05-14
Downloads:	2 View Download Statistics